Simplify
4¹³÷3-⁵
To simplify the expression 4¹³ ÷ 3-⁵, we can rewrite it as 4¹³ ÷ 3⁻⁵.
To divide powers with the same base, we subtract the exponents. Thus, 4¹³ ÷ 3⁻⁵ becomes 4¹³ - (-5) which is equal to 4¹³ + 5.
So, the simplified form is 4¹³ + 5.
To simplify the expression 4¹³ ÷ 3⁻⁵, follow these steps:
Step 1: Start by simplifying each exponent separately.
4¹³ = 4, because any number raised to the power of 1 is itself.
3⁻⁵ = 1/3⁵, because a negative exponent means taking the reciprocal.
Step 2: Evaluate the values.
4¹³ ÷ 3⁻⁵ = 4 ÷ (1/3⁵) = 4 × (3⁵/1) = 4 × 243 = 972.
Therefore, the simplified expression is 972.